Answer:
The two numbers are <em>13</em> and <em>48</em>.
Step-by-step explanation:
We can create two simultaneous equations to solve this question using the information given.
Let number 1 = x
Let number 2 = y
x + y = 61 -> ( 1 )
x = y + 35 -> ( 2 )
We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier and shorter option.
Substitute ( 2 ) into ( 1 ):
x + y = 61 -> ( 1 )
( y + 35 ) + y = 61
2y + 35 = 61
2y = 26
y = 26 / 2
y = 13 -> ( 3 )
Substitute ( 3 ) into ( 2 ):
x = y + 35 -> ( 2 )
x = ( 13 ) + 35
x = 48
Therefore:
x = 48 , y = 13
Answer:
x=5
Step-by-step explanation:
Answer:
f(g(3)) = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = -2x + 7
g(x) = x² - 2
<u>Step 2: Find f(g(3))</u>
- Substitute in <em>x</em> [Function g(x)]: g(3) = 3² - 2
- Evaluate exponents: g(3) = 9 - 2
- Subtract: g(3) = 7
- Substitute in g(3) [Function f(x)]: f(g(3)) = -2(7) + 7
- Multiply: f(g(3)) = -14 + 7
- Add: f(g(3)) = -7
Answer:
97%
Step-by-step explanation: